Results 11 to 20 of about 260,518 (341)
Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [PDF]
International Journal of Group Theory, 2021 There is a long-standing conjecture attributed to I. Schur that if $G$ is a finite group with Schur multiplier $M(G)$ then the exponent of $M(G)$ divides the exponent of $G$. In this note I give an example of a four generator group $G$ of order $5^{4122}$
Michael Vaughan-Lee
doaj +4 more sources
The minimal exponent and k-rationality for local complete intersections [PDF]
Journal de l'École polytechnique. Mathématiques, 2022 We show that if $Z$ is a local complete intersection subvariety of a smooth complex variety $X$, of pure codimension $r$, then $Z$ has $k$-rational singularities if and only if $\widetilde{\alpha}(Z)>k+r$, where $\widetilde{\alpha}(Z)$ is the minimal ...
Qianyu Chen +2 more
semanticscholar +1 more source
FP8 Quantization: The Power of the Exponent [PDF]
Neural Information Processing Systems, 2022 When quantizing neural networks for efficient inference, low-bit integers are the go-to format for efficiency. However, low-bit floating point numbers have an extra degree of freedom, assigning some bits to work on an exponential scale instead.
Andrey Kuzmin +5 more
semanticscholar +1 more source
bioRxiv, 2021 A hallmark of electrophysiological brain activity is its 1/f-like spectrum – power decreases with increasing frequency. The steepness of this “roll-off” is approximated by the spectral exponent, which in invasively recorded neural populations reflects ...
Leonhard Waschke +6 more
semanticscholar +1 more source
The role of the power law exponent in wind energy assessment: A global analysis
International Journal of Energy Research, 2021 The power law is most often applied to extrapolate the near‐surface wind speed to the wind turbine hub height. Due to variations of the meteorological conditions, the power law exponent varies over time. Usually, no long‐term wind speed measurements from
Christopher Jung, D. Schindler
semanticscholar +1 more source
Journal of Physics A: Mathematical and Theoretical, 2019 Many physical processes result in very uneven, apparently random, distributions of matter, characterized by fluctuations of the local density over orders of magnitude. The density of matter in the sparsest regions can have a power-law distribution, with an exponent that we term the lacunarity exponent.
Michael Wilkinson +3 more
openaire +3 more sources
Modified cosmology from extended entropy with varying exponent [PDF]
The European Physical Journal C, 2019 We present a modified cosmological scenario that arises from the application of non-extensive thermodynamics with varying exponent. We extract the modified Friedmann equations, which contain new terms quantified by the non-extensive exponent, possessing ...
S. Nojiri, S. Odintsov, E. Saridakis
semanticscholar +1 more source
Extremes of Error Exponents [PDF]
IEEE Transactions on Information Theory, 2013 This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity $C$ and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's $E_0$ function ...
Fàbregas, AG, Land, I, Martinez, A
openaire +5 more sources